3y^2+y+3=0

Solution for 3y^2+y+3=0 equation:

Simplifying
3y2 + y + 3 = 0

Reorder the terms:
3 + y + 3y2 = 0

Solving
3 + y + 3y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
1 + 0.3333333333y + y2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.3333333333y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + 0.3333333333y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.3333333333y + y2 = 0 + -1
0.3333333333y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.3333333333y + y2 = -1

The y term is y.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.3333333333y + 0.25 + y2 = -1 + 0.25

Reorder the terms:
0.25 + 0.3333333333y + y2 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + 0.3333333333y + y2 = -0.75

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.